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11. Container With Most Water 裝水最多的容器

異常 style http 指針 param post aps wid lose

[抄題]:

Given n non-negative integers a1, a2, ..., an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.

[暴力解法]:

時間分析:

空間分析:

[思維問題]:

距離更近時,只有木板更高才能往前走,因此避免掃描多余狀態。頭一次總結到 對撞型兩根指針的思考方向是這樣,下次註意。

[一句話思路]:

用max反復比較,直到求出最大值

[輸入量]:空: 正常情況:特大:特小:程序裏處理到的特殊情況:異常情況(不合法不合理的輸入):

[畫圖]:

技術分享圖片

[一刷]:

[二刷]:

[三刷]:

[四刷]:

[五刷]:

[五分鐘肉眼debug的結果]:

[總結]:

[復雜度]:Time complexity: O(n) Space complexity: O(n)

[英文數據結構或算法,為什麽不用別的數據結構或算法]:

灌水問題就用 對撞型兩根指針

[關鍵模板化代碼]:

while (left < right)

[其他解法]:

[Follow Up]:

[LC給出的題目變變變]:

[代碼風格] :

技術分享圖片
public class Solution {
    /**
     * @param heights: a vector of integers
     * @return: an integer
     */
    public int maxArea(int[] height) {
        //corner case
        int
max = 0; int left = 0; int right = height.length - 1; while (left < right) { max = Math.max(max, Math.min(height[left], height[right]) * (right - left)); if (height[right] > height[left]) { left++; }else { right--; } } return max; } }
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11. Container With Most Water 裝水最多的容器